Simultaneously non-dense orbits under different expanding maps
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Publication:3069841
DOI10.1080/14689367.2010.482519zbMath1204.37038arXiv0904.4365OpenAlexW2021443016MaRDI QIDQ3069841
Publication date: 20 January 2011
Published in: Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0904.4365
Dynamical systems involving maps of the interval (37E05) Dimension theory of smooth dynamical systems (37C45)
Related Items (8)
The set of badly approximable vectors is strongly C1 incompressible ⋮ Simultaneous dense and nondense orbits for noncommuting toral endomorphisms ⋮ Simultaneous dense and nondense orbits for commuting maps ⋮ Badly approximable systems of affine forms and incompressibility on fractals ⋮ On Schmidt's game and the set of points with non-dense orbits under a class of expanding maps ⋮ Diophantine approximation and the geometry of limit sets in Gromov hyperbolic metric spaces ⋮ A result on the approximation properties of the orbit of 1 under the \(\beta\)-transformation ⋮ Chaotic and topological properties of \(\beta \)-transformations
Cites Work
- Winning sets, quasiconformal maps and Diophantine approximation
- On normal numbers
- Schmidt's game on fractals
- An exceptional set in the ergodic theory of expanding maps on manifolds
- Schmidt's game, badly approximable matrices and fractals
- The Hausdorff dimension of a set of normal numbers
- Normal numbers from independent processes
- Representations for real numbers and their ergodic properties
- On theβ-expansions of real numbers
- Schmidt games and Markov partitions
- On orbits of endomorphisms of tori and the Schmidt game
- An exceptional set in the ergodic theory of rational maps of the Riemann sphere
- The Hausdorff dimension of the set of points with nondense orbit under a hyperbolic dynamical system
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